31415412000 has 384 divisors, whose sum is σ = 118793945088. Its totient is φ = 7108992000.

The previous prime is 31415411999. The next prime is 31415412031. The reversal of 31415412000 is 21451413.

It is a super-2 number, since 2×31415412000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8650185 + ... + 8653815.

It is an arithmetic number, because the mean of its divisors is an integer number (309359232).

Almost surely, 2^31415412000 is an apocalyptic number.

31415412000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31415412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59396972544).

31415412000 is an abundant number, since it is smaller than the sum of its proper divisors (87378533088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31415412000 is a wasteful number, since it uses less digits than its factorization.

31415412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 31415412000 its reverse (21451413), we get a palindrome (31436863413).

The spelling of 31415412000 in words is "thirty-one billion, four hundred fifteen million, four hundred twelve thousand".